348 Winchester.
The last of the big rimmed cartridges, there's nothing to recommend it from a technical standpoint. The case is a hangover from black powder days, it has tons of taper to transfer lots of case head thrust, the bore size is unique. It just works and happens to be chambered in the finest lever action ever made, the Winchester 71.
310 Cadet.
It's so old fashioned it uses a heeled bullet like a 22 in a centerfire cartridge. Ballistically it's certainly powerful enough to go clean through a piece of paper. But the Martini rifles it comes in are neat on a stick.